Derive expressions for the position an velocity vectors of the mass in terms of the generalised coordinates q and q2. b) Determine the kinetic energy, potential energy and Lagrange functions of the system.
Derive expressions for the position an velocity vectors of the mass in terms of the generalised coordinates q and q2. b) Determine the kinetic energy, potential energy and Lagrange functions of the system.
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I need help on parts a, b and c
Transcribed Image Text:a)
Derive expressions for the position an velocity vectors of the mass in terms of the
generalised coordinates q and q2.
b)
Determine the kinetic energy, potential energy and Lagrange functions of the
system.
c)
Determine the Euler-Lagrange equations of the system.
Transcribed Image Text:The system in the figure below consists of a massless spring with stiffness 60 N/m and
unstretched length 0.4 m (indicated in black in the figure) that is wrapped around a
rigid massless bar (indicated in red in the figure). A mass of 5 kg is attached to the end
of the spring and slides without friction along the bar. The spring/bar assemblage
pivots without friction about the point O. Take as generalised coordinate q the angle
of the bar w.r.t. the vertical and as generalised coordinate q2 the stretch of the spring.
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